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arXiv 2607.12543math.AP

关于广泛退化椭圆型系统的二阶正则性

On the second-order regularity of widely degenerate elliptic systems

Felice Iandoli, Berardino Sciunzi, Domenico Vuono

AI总结:

研究广泛退化椭圆型系统二阶正则性,通过证明临界集附近正则性及退化区域测度性质得出相关结论。

AI中文摘要:

我们证明了广泛退化椭圆型系统在临界集附近的局部二阶正则性,并表明若源项非零,退化区域的勒贝格测度为零。

英文摘要:

We prove local second-order regularity near the critical set for widely degenerate elliptic systems, and show that this degenerate region has zero Lebesgue measure provided the source term is non-vanishing.

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